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Permutation testing is a non-parametric method for obtaining the max null distribution used to compute corrected $p$-values that provide strong control of false positives. In neuroimaging, however, the computational burden of running such…

High-throughput sequencing technologies have led to explosive growth of genomic databases; one of which will soon reach hundreds of terabytes. For many applications we want to build and store indexes of these databases but constructing such…

Data Structures and Algorithms · Computer Science 2018-11-19 Christina Boucher , Travis Gagie , Alan Kuhnle , Ben Langmead , Giovanni Manzini , Taher Mun

Model compression has been introduced to reduce the required hardware resources while maintaining the model accuracy. Lots of techniques for model compression, such as pruning, quantization, and low-rank approximation, have been suggested…

Machine Learning · Computer Science 2018-10-31 Dongsoo Lee , Parichay Kapoor , Byeongwook Kim

Backpropagation through time (BPTT) is the standard algorithm for training recurrent neural networks (RNNs), which requires separate simulation phases for the forward and backward passes for inference and learning, respectively. Moreover,…

Machine Learning · Computer Science 2023-03-13 Anand Subramoney

With the development of gene sequencing technology, an explosive growth of gene data has been witnessed. And the storage of gene data has become an important issue. Traditional gene data compression methods rely on general software like…

Machine Learning · Computer Science 2023-02-01 Zhanbei Cui , Yu Liao , Tongda Xu , Yan Wang

Backpropagation through time (BPTT) is a technique of updating tuned parameters within recurrent neural networks (RNNs). Several attempts at creating such an algorithm have been made including: Nth Ordered Approximations and Truncated-BPTT.…

Machine Learning · Computer Science 2025-06-26 George Bird , Maxim E. Polivoda

Continual learning in transformers is commonly addressed through parameter-efficient adaptation: prompts, adapters, or LoRA modules are specialized per task while the backbone remains frozen. Although effective in controlled multi-epoch…

Machine Learning · Computer Science 2026-03-11 Alessio Masano , Giovanni Bellitto , Dipam Goswani , Joost Van de Weijer , Concetto Spampinato

We present a new algorithm for iterating over all permutations of a sequence. The algorithm leverages elementary~$O(1)$ operations on recursive lists. As a result, no new nodes are allocated during the computation. Instead, all elements are…

Data Structures and Algorithms · Computer Science 2025-09-16 Thomas Baruchel

In the Bin Packing problem one is given $n$ items with weights $w_1,\ldots,w_n$ and $m$ bins with capacities $c_1,\ldots,c_m$. The goal is to find a partition of the items into sets $S_1,\ldots,S_m$ such that $w(S_j) \leq c_j$ for every bin…

Data Structures and Algorithms · Computer Science 2023-09-11 Jesper Nederlof , Jakub Pawlewicz , Céline M. F. Swennenhuis , Karol Węgrzycki

Recognizing the substantial computational cost of backpropagation (BP), non-BP methods have emerged as attractive alternatives for efficient learning on emerging neuromorphic systems. However, existing non-BP approaches still face critical…

Machine Learning · Computer Science 2026-02-27 Guoqing Ma , Shan Yu

Large Language Models (LLMs) face a significant bottleneck during autoregressive inference due to the massive memory footprint of the Key-Value (KV) cache. Existing compression techniques like token eviction, quantization, or other low-rank…

Machine Learning · Computer Science 2025-11-25 Santhosh G S , Saurav Prakash , Balaraman Ravindran

The rich spatio-temporal information is crucial to capture the complicated target appearance variations in visual tracking. However, most top-performing tracking algorithms rely on many hand-crafted components for spatio-temporal…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Jinxia Xie , Bineng Zhong , Zhiyi Mo , Shengping Zhang , Liangtao Shi , Shuxiang Song , Rongrong Ji

In this work, we present randomized compression algorithms for flat rank-structured matrices with shared bases, termed uniform Block Low-Rank (BLR) matrices. Our main contribution is a technique called tagging, which improves upon the…

Numerical Analysis · Mathematics 2025-12-16 Katherine J. Pearce , Anna Yesypenko , James Levitt , Per-Gunnar Martinsson

We study a variation of the Trotter-Suzuki decomposition, in which a Hamiltonian exponential is approximated by an ordered product of two-qubit operator exponentials such that the Trotter step size is enhanced for a small number of terms.…

Quantum Physics · Physics 2023-04-10 Finn Lasse Buessen , Dvira Segal , Ilia Khait

Convolutional architectures have emerged as powerful alternatives to Transformers for sequence modeling. The primary advantage is that they offer improved theoretical sequence length complexity by leveraging the Fast Fourier Transform…

Machine Learning · Computer Science 2026-05-12 Linda Friso , Annie Marsden , Xinyi Chen , Arushi Gupta , Peter Bartlett , Mark Braverman , Elad Hazan

Nonlinear dimensionality reduction embeddings computed from datasets do not provide a mechanism to compute the inverse map. In this paper, we address the problem of computing a stable inverse map to such a general bi-Lipschitz map. Our…

Numerical Analysis · Mathematics 2013-11-06 Nathan D. Monnig , Bengt Fornberg , Francois G. Meyer

Feature selection removes redundant features to enhanc performance and computational efficiency in downstream tasks. Existing works often struggle to capture complex feature interactions and adapt to diverse scenarios. Recent advances in…

Machine Learning · Computer Science 2026-03-02 Rui Liu , Rui Xie , Zijun Yao , Yanjie Fu , Dongjie Wang

This paper explores the possibility of extending the capability of pre-trained neural image compressors (e.g., adapting to new data or target bitrates) without breaking backward compatibility, the ability to decode bitstreams encoded by the…

Image and Video Processing · Electrical Eng. & Systems 2024-03-01 Zhihao Duan , Ming Lu , Justin Yang , Jiangpeng He , Zhan Ma , Fengqing Zhu

We present a new data structure for maintaining dynamic permutations, which we call a $\textit{forest of splay trees (FST)}$. The FST allows one to efficiently maintain the cycle structure of a permutation $\pi$ when the allowed updates are…

Data Structures and Algorithms · Computer Science 2023-06-08 Zsuzsanna Lipták , Francesco Masillo , Gonzalo Navarro

Continuous time quantum walks provide an important framework for designing new algorithms and modelling quantum transport and state transfer problems. Often, the graph representing the structure of a problem contains certain symmetries that…

Quantum Physics · Physics 2015-11-03 Leonardo Novo , Shantanav Chakraborty , Masoud Mohseni , Hartmut Neven , Yasser Omar
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